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Fermat's last theorem | A Wisdom Archive on Fermat's last theorem | | Fermat's last theorem A selection of articles related to Fermat's last theorem | |
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Fermat's last theorem
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ARTICLES RELATED TO Fermat's last theorem | | | |  Fermat's last theorem: Encyclopedia II - Marilyn vos Savant - Fermat's last theoremLess favorable to Marilyn was the outcome of the controversy following the publication of her book The World's Most Famous Math Problem in November 1993, a few months after the announcement by Andrew Wiles that he had proved Fermat's last theorem. The book, which surveys the history of the theorem, drew criticism for its discontent with Wiles' proof; Marilyn was charged in making her case with misunderstanding mathematical induction, proof by contradiction, and imaginary numbers. Especially contested was her view that Wiles' proof sho ...
See also:Marilyn vos Savant, Marilyn vos Savant - Biography, Marilyn vos Savant - What is her IQ?, Marilyn vos Savant - The Monty Hall problem, Marilyn vos Savant - Fermat's last theorem, Marilyn vos Savant - Works Read more here: » Marilyn vos Savant: Encyclopedia II - Marilyn vos Savant - Fermat's last theorem |
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| | | | Fermat's last theorem: Encyclopedia II - Fermat's last theorem - History
Fermat's last theorem - Fermat's comment in the Arithmetica.
In problem II.8 of his Arithmetica, Diophantus asks how to split a given square number into two other squares (in modern notation, given a rational number k, find u and v, both rational, such that k2 = u2 + v2), and shows how to solve the problem for See also:Fermat's last theorem, Fermat's last theorem - History, Fermat's last theorem - Fermat's comment in the Arithmetica, Fermat's last theorem - Early history, Fermat's last theorem - The proof, Fermat's last theorem - Did Fermat really have a proof?, Fermat's last theorem - Trivia, Fermat's last theorem - Notes, Fermat's last theorem - Bibliography and further reading Read more here: » Fermat's last theorem: Encyclopedia II - Fermat's last theorem - History |
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| | | | Fermat's last theorem: Encyclopedia II - Fermat's last theorem - Did Fermat really have a proof? This is the note that Fermat wrote in the margin of Arithmetica:
Cubum autem in duos cubos, aut quadrato-quadratum in duos quadrato-quadratos,
et generaliter nullam in infinitum ultra quadratum potestatem in duos eiusdem
nominis fas est dividere cuius rei demonstrationem mirabilem sane detexi.
Hanc marginis exiguitas non caperet.
(It is impossible to separate a cube into two cubes, or a fourth power into two
fourth powers, or in general, any power higher than the second into two like
powers. I have discovered a truly ma ...
See also:Fermat's last theorem, Fermat's last theorem - Mathematical context, Fermat's last theorem - Early history, Fermat's last theorem - The proof, Fermat's last theorem - Did Fermat really have a proof?, Fermat's last theorem - Trivia, Fermat's last theorem - Notes, Fermat's last theorem - Bibliography and further reading Read more here: » Fermat's last theorem: Encyclopedia II - Fermat's last theorem - Did Fermat really have a proof? |
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| | | | Fermat's last theorem: Encyclopedia II - Pythagorean theorem - History The history of the theorem called Pythagorean can be divided into three parts: knowledge of Pythagorean triples, knowledge of the relationship between the sides of a right triangle, and proofs of the theorem.
Circa 2500 BC, Megalithic monuments on the British Isles incorporate right triangles with integer sides. B.L. van der Waerden conjectures that these Pythagorean triples were discovered algebraically.
Written between 2000 - 1786 BC, the Middle Kingdom Egyptian papyrus Berlin 6619 includes a problem, the s ...
See also:Pythagorean theorem, Pythagorean theorem - History, Pythagorean theorem - Proofs, Pythagorean theorem - Geometrical proof, Pythagorean theorem - A visual proof, Pythagorean theorem - Converse of the theorem, Pythagorean theorem - Algebraic Proof, Pythagorean theorem - Pythagorean triples, Pythagorean theorem - Generalizations, Pythagorean theorem - The Pythagorean theorem in non-Euclidean geometry, Pythagorean theorem - Other facts, Pythagorean theorem - Notes Read more here: » Pythagorean theorem: Encyclopedia II - Pythagorean theorem - History |
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| | | | Fermat's last theorem: Encyclopedia - Mathematics Mathematics is often defined as the study of topics such as quantity, structure, space, and change. Another view, held by many mathematicians, is that mathematics is the body of knowledge justified by deductive reasoning, starting from axioms and definitions.
Practical mathematics, in nearly every society, is used for such purposes as accounting, measuring land, or predicting astronomical events. Mathematical discovery or research often involves discovering and cataloging patterns, without regard for application. Today, the natural sciences, engineering, economics, and medici ...
Including:
Read more here: » Mathematics: Encyclopedia - Mathematics |
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| | | | Fermat's last theorem: Encyclopedia II - Pythagorean theorem - Other facts In heraldry, the Pythagorean theorem appears as a charge in the arms of Seissenegger.
The theorem is referenced in an episode of The Simpsons. After finding a pair of glasses at the Nuclear Power Plant, Homer puts them on and in an attempt to sound smart, comments "the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side." A man in a nearby toilet stall then yells out "That's a right triangle, you idiot!" (This was a homage to The Wizard of Oz. When the Scarecrow receives his diploma from the Wizar ...
See also:Pythagorean theorem, Pythagorean theorem - History, Pythagorean theorem - Proofs, Pythagorean theorem - Geometrical proof, Pythagorean theorem - A visual proof, Pythagorean theorem - Converse of the theorem, Pythagorean theorem - Algebraic Proof, Pythagorean theorem - Pythagorean triples, Pythagorean theorem - Generalizations, Pythagorean theorem - The Pythagorean theorem in non-Euclidean geometry, Pythagorean theorem - Other facts, Pythagorean theorem - Notes Read more here: » Pythagorean theorem: Encyclopedia II - Pythagorean theorem - Other facts |
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| | | | Fermat's last theorem: Encyclopedia II - Pythagorean theorem - Pythagorean triples A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. In other words, a Pythagorean triple represents the lengths of the sides of a right triangle where all three sides have integer lengths. Evidence from megalithic monuments on the British Isles shows that such triples were known before the discovery of writing. Such a triple is commonly written (a, b, ...
See also:Pythagorean theorem, Pythagorean theorem - History, Pythagorean theorem - Proofs, Pythagorean theorem - Geometrical proof, Pythagorean theorem - A visual proof, Pythagorean theorem - Converse of the theorem, Pythagorean theorem - Algebraic Proof, Pythagorean theorem - Pythagorean triples, Pythagorean theorem - Generalizations, Pythagorean theorem - The Pythagorean theorem in non-Euclidean geometry, Pythagorean theorem - Other facts, Pythagorean theorem - Notes Read more here: » Pythagorean theorem: Encyclopedia II - Pythagorean theorem - Pythagorean triples |
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